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Car-following behavior is fundamental to traffic flow theory, yet traditional models often fail to capture the stochasticity of naturalistic driving. This paper introduces a new car-following modeling category called the empirical…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Sungyong Chung , Yanlin Zhang , Nachuan Li , Dana Monzer , Alireza Talebpour

Traffic control optimization is a challenging task for various traffic centers around the world and the majority of existing approaches focus only on developing adaptive methods under normal (recurrent) traffic conditions. Optimizing the…

Machine Learning · Computer Science 2021-03-16 Tuo Mao , Adriana-Simona Mihaita , Fang Chen , Hai L. Vu

The ability to predict multiple possible future positions of the ego-vehicle given the surrounding context while also estimating their probabilities is key to safe autonomous driving. Most of the current state-of-the-art Deep Learning…

Computer Vision and Pattern Recognition · Computer Science 2020-10-05 Thomas Kurbiel , Akash Sachdeva , Kun Zhao , Markus Buehren

This paper proposes a generalised framework for density estimation in large networks with measurable spatiotemporal variance in edge weights. We solve the stochastic shortest path problem for a large network by estimating the density of the…

Optimization and Control · Mathematics 2023-06-29 Raashid Altaf , Pravesh Biyani

In the current context of Big Data, the nature of many forecasting problems has changed from predicting isolated time series to predicting many time series from similar sources. This has opened up the opportunity to develop competitive…

Machine Learning · Computer Science 2021-03-23 Hansika Hewamalage , Christoph Bergmeir , Kasun Bandara

Logistic models are studied as a tool to convert output from numerical weather forecasting systems (deterministic and ensemble) into probability forecasts for binary events. A logistic model obtains by putting the logarithmic odds ratio…

Atmospheric and Oceanic Physics · Physics 2009-01-29 Jochen Bröcker

Data-driven modeling is useful for reconstructing nonlinear dynamical systems when the underlying process is unknown or too expensive to compute. Having reliable uncertainty assessment of the forecast enables tools to be deployed to predict…

Methodology · Statistics 2023-11-01 Mengyang Gu , Yizi Lin , Victor Chang Lee , Diana Qiu

We propose a Stochastic MPC (SMPC) formulation for path planning with autonomous vehicles in scenarios involving multiple agents with multi-modal predictions. The multi-modal predictions capture the uncertainty of urban driving in distinct…

Robotics · Computer Science 2023-11-01 Siddharth H. Nair , Hotae Lee , Eunhyek Joa , Yan Wang , H. Eric Tseng , Francesco Borrelli

This paper presents a novel vehicle motion forecasting method based on multi-head attention. It produces joint forecasts for all vehicles on a road scene as sequences of multi-modal probability density functions of their positions. Its…

Machine Learning · Computer Science 2019-12-23 Jean Mercat , Thomas Gilles , Nicole El Zoghby , Guillaume Sandou , Dominique Beauvois , Guillermo Pita Gil

Traffic prediction is an indispensable component of urban planning and traffic management. Achieving accurate traffic prediction hinges on the ability to capture the potential spatio-temporal relationships among road sensors. However, the…

Machine Learning · Computer Science 2025-03-13 Chaoqun Liu , Xuanpeng Li , Chen Gong , Guangyu Li

This paper studies the traffic state estimation problem at signalized intersections with low penetration rate vehicle trajectory data. While many existing studies have proposed different methods to estimate unknown traffic states and…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Xingmin Wang , Zihao Wang , Zachary Jerome , Henry X. Liu

This paper proposes an online learning method of Gaussian process state-space model (GP-SSM). GP-SSM is a probabilistic representation learning scheme that represents unknown state transition and/or measurement models as Gaussian processes…

Robotics · Computer Science 2024-10-30 Soon-Seo Park , Young-Jin Park , Youngjae Min , Han-Lim Choi

A Bayesian approach to predicting traffic flows at signalised intersections is considered using the the INLA framework. INLA is a deterministic, computationally efficient alternative to MCMC for estimating a posterior distribution. It is…

Applications · Statistics 2021-07-09 D. Townsend , C. Nel

Modeling traffic dynamics is a critical challenge for urban computing, with applications from real-time traffic management to infrastructure planning. However, progress in this area is fundamentally constrained by a lack of large-scale…

Machine Learning · Computer Science 2026-05-18 Fedor Velikonivtsev , Oleg Platonov , Ekaterina Alimaskina , Gleb Bazhenov , Liudmila Prokhorenkova

This paper introduces a new approach to hybrid traffic modeling, along with its implementation in software. The software allows modelers to assign traffic models to individual links in a network. Each model implements a series of methods,…

Mathematical Software · Computer Science 2019-08-13 Gabriel Gomes

Traffic forecasting is important for the success of intelligent transportation systems. Deep learning models, including convolution neural networks and recurrent neural networks, have been extensively applied in traffic forecasting problems…

Machine Learning · Computer Science 2022-07-08 Weiwei Jiang , Jiayun Luo

Density modeling is notoriously difficult for high dimensional data. One approach to the problem is to search for a lower dimensional manifold which captures the main characteristics of the data. Recently, the Gaussian Process Latent…

Machine Learning · Statistics 2010-07-14 Hannes Nickisch , Carl Edward Rasmussen

How to build an effective large-scale traffic state prediction system is a challenging but highly valuable problem. This study focuses on the construction of an effective solution designed for spatio-temporal data to predict large-scale…

Machine Learning · Computer Science 2019-11-14 Yang Liu , Fanyou Wu , Baosheng Yu , Zhiyuan Liu , Jieping Ye

In the setting of a recently developed cellular stochastic traffic flow model, it has shown that the joint per-cell vehicle densities, as a function of time, can be accurately approximated by a Gaussian process, which has the attractive…

Optimization and Control · Mathematics 2020-07-16 Michel Mandjes , Jaap Storm

With the increasing presence of autonomous vehicles (AVs) on public roads, developing robust control strategies to navigate the uncertainty of human-driven vehicles (HVs) is crucial. This paper introduces an advanced method for modeling HV…

Robotics · Computer Science 2024-04-11 Jie Wang , Yash Vardhan Pant , Lei Zhao , Michał Antkiewicz , Krzysztof Czarnecki
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